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Finding the Fourth Proportional to 279.84, 417.60 and 247.44

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Solution

The fourth proportional to 279.84, 417.60 and 247.44 is: 369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.84 : 417.60 = 247.44 : x
  2. Step 2: Convert to fraction form
    279.84/417.60 = 247.44/x
  3. Step 3: Cross multiply
    279.84x = 417.60 × 247.44
  4. Step 4: Simplify right side
    279.84x = 103,330.94
  5. Step 5: Solve for x
    x = 103,330.94/279.84
  6. Step 6: Final answer
    x = 369.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.